SOLUTION: Apples are collected in a basket for six people. One third,one fourth,one eighth, and one fifth of the apples are given to four people respectively. The fifth person gets ten apple

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Question 69379This question is from textbook Elementary and Intermediate Algebra
: Apples are collected in a basket for six people. One third,one fourth,one eighth, and one fifth of the apples are given to four people respectively. The fifth person gets ten apples and one apple remains for the sixth person. Find the original number of apples in the basket. This question is from textbook Elementary and Intermediate Algebra

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

Let x= Original number of apples
1st person-----gets (1/3)x= x/3-----120/3=40
2nd person-----gets (1/4)x= x/4------120/4=30
3rd person-----gets (1/8)x= x/8------120/8=15
4th person-----gets (1/5)x= x/5-------120/5=24
5th person ----gets 10 apples
6th person ----gets 1 Apple------------NOT FAIR!!!!!

Now we know that if we subtract the number of apples that the first four persons received from the original amount, we would have 11 apples left over.
So lets do that:
x-(x/3+x/4+x/8+x/5)=11 Lets get rid of parens
x-x/3-x/4-x/8-x/5=11 Now we'll get rid of the fractions by multiply each term by 120
120x-40x-30x-15x-24x=1320 collect like terms
11x=1320 divide both sides by 11
x=120 apples in original basket
CK
120-40-30-15-24=11
11=11

Hope this helps-----ptaylor